Symmetry is one of the most important concepts in mathematics and physics. Emerging from the 2021 LMS-Bath Summer School, this book provides Ph.D. students and young researchers with some of the essential tools for the advanced study of symmetry. Illustrated with numerous examples, it explores some of the most exciting interactions between Dirac operators, K-theory and representation theory of real reductive groups. The final chapter provides a self-contained account of the representation theory of p-adic groups, from the very basics to an advanced perspective, with many arithmetic aspects.
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List of contributors; Preface; 1. Group C*-algebras, C*-correspondences and K-Theory Bram Mesland and Mehmet Haluk Şengün; 2. Tempered representations of semisimple Lie groups Peter Hochs; 3. Dirac operators and representation theory Hang Wang; 4. Representation theory of p-adic reductive groups Anne-Marie Aubert; Index.
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Detailed lecture notes covering applications of C*-algebras and K-theory to the representation theory of reductive real and p-adic groups.
Product details
ISBN
9781009201506
Published
2024-11-28
Publisher
Cambridge University Press
Weight
330 gr
Height
228 mm
Width
153 mm
Thickness
12 mm
Age
UP, 05
Language
Product language
Engelsk
Format
Product format
Heftet
Number of pages
224